超磁致伸缩执行器率相关迟滞混合模型研究

Hybrid Rate-dependent Hysteresis Model in Giant Magnetostrictive Actuaor

超磁致伸缩执行器的迟滞具有率相关特性。提出一种混合建模方法用于率相关迟滞建模。首先,在低频激励下,建立系统的率不相关PI迟滞模型;其次,在高频激励下,提出率不相关PI迟滞模型求逆与拟合相结合的方法,将系统响应解耦,进而建立系统线性环节模型;然后,在上述基础上,提出并建立系统迟滞环节的率相关PI迟滞模型;最后,通过系统线性环节模型和率相关PI迟滞模型串联得到率相关迟滞混合模型。实验结果显示:相对于率不相关迟滞模型或率不相关迟滞混合模型,率相关迟滞混合模型具有更高的精度,从而验证了所提模型的有效性和精确性。

The hysteresis of giant magnetostrictive actuator has the property of rate-dependence. A new model for the rate-dependent hysteresis was proposed by using hybrid modeling method. The model is composed of a linearity element and a rate-dependent hysteresis element. First, the rate-!ndependent hysteresis of the system was modeled by modified PI model when 2 Hz sinusoidal signal was employed to excite the system. Second, the coupling response of the linearity and the hysteresis elements was deeoupled by the method of combining the inversion of the rate-independent hysteresis model and fitting method when 100 Hz sinusoidal signal was employed to excite the system. Then, a new rate-dependent hysteresis model was proposed and implemented on the above bases. At last, the hybrid rate-dependent hysteresis model was obtained by connecting the linearity element and the rate-dependent hysteresis element in series. Compared with rate-independent hysteresis model and hybrid rate-independent hysteresis model, the proposed hybrid model is more accurate than other models.